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Finding the Fourth Proportional to 493,300.80, 739,951.20 and 419,817.60

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Solution

The fourth proportional to 493,300.80, 739,951.20 and 419,817.60 is: 629,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,300.80 : 739,951.20 = 419,817.60 : x
  2. Step 2: Convert to fraction form
    493,300.80/739,951.20 = 419,817.60/x
  3. Step 3: Cross multiply
    493,300.80x = 739,951.20 × 419,817.60
  4. Step 4: Simplify right side
    493,300.80x = 310,644,536,901.12
  5. Step 5: Solve for x
    x = 310,644,536,901.12/493,300.80
  6. Step 6: Final answer
    x = 629,726.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.